The partition function for topological field theories (Q1323819)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The partition function for topological field theories |
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The partition function for topological field theories (English)
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5 September 1994
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We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non- abelian BF theories in \(n\) dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined on flat vector bundles for all odd-dimensional manifolds and is equal to unity for even dimensions.
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Hodge decomposition
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non-abelian flat vector bundles
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partition function
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Ray-Singer torsion
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